Find the Cosine Given the Point (24,7)

Problem

cos(θ)* given *(x,y)=(24,7)

Solution

1. Identify the coordinates of the given point as x=24 and y=7

2. Calculate the radius r using the Pythagorean theorem formula r=√(,x2+y2)

3. Substitute the values into the formula: r=√(,24+7)=√(,576+49)=√(,625)=25

4. Apply the formula for the cosine of an angle in standard position, which is cos(θ)=x/r

5. Substitute the known values of x and r to find the final ratio.

Final Answer

cos(θ)=24/25

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